Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 270 and 180.

**Answer**

$270=(2)({3}^{3})(5)$

$180=({2}^{2})({3}^{2})(5)$

The LCM of 270 and 180 is the product of the largest powers of each prime factor in both.

Thus the LCM of 270 and 180

$=({2}^{2})({3}^{3})(5)$

$=540$